(Solved): need help with full work shown ans clear  4. Using the following conversion factors, convert \( ...

4. Using the following conversion factors, convert \( 25 \mathrm{~g} / \mathrm{mL} \) to \( \mathrm{kg} / \mathrm{dm}^{3} \) Show dimensional analysis steps. \[ \begin{array}{l} 1 \mathrm{~cm}^{3}=1 \mathrm{~mL} \\ 1 \mathrm{dm}^{3}=1 \mathrm{~L} \end{array} \] 5. Dextrose solution is made of dextrose dissolved in water. The density of a dextrose solution is \( 3 \mathrm{~g} / \mathrm{mL} \). Which of the following conversion factors correctly represents the density of the solution? Hint: Think about what density of a substance means. A) \( 3 \mathrm{~g} \) of dextrose \( =1 \mathrm{~mL} \) of solution B) \( 3 \mathrm{~g} \) of solution \( =1 \mathrm{~mL} \) solution C) \( 3 \mathrm{~g} \) dextrose \( =3 \mathrm{~mL} \) dextrose D) \( 3 \mathrm{~g} \) of solution \( =1 \mathrm{~mL} \) dextrose 1. Which of the following dimensional analysis steps have the conversion factors written correctly for converting \( 20 \mathrm{~nm} \) to \( \mathrm{m} \) ? Answer: \( A \) and \( C \) A) \( 20 \mathrm{~nm} \times \frac{1 \mathrm{~m}}{10^{9} \mathrm{~nm}} \) (C) \( 20 \mathrm{~nm} \times \frac{10^{9} \mathrm{~m}}{1 \mathrm{~nm}} \) B) \( 20 \mathrm{~nm} \times \frac{1 \mathrm{~m}}{10^{-9} \mathrm{~nm}} \) p) \( 20 \mathrm{~nm} \times \frac{10^{-9} \mathrm{~m}}{1 \mathrm{~nm}} \) 2. (a) What is the one piece of information needed to convert mass of a substance to it' volume and vice versa? (b) What is the mass in grams of \( 250 \mathrm{~L} \) of water? Show work using dimensional analysis. 3. A block of metal was immersed in a graduated cylinder containing water up to the \( 100 \mathrm{~mL} \) mark. After immersing the block, the water level increased to the \( 120 \mathrm{~mL} \) mark. (a) What is the volume of the block? \( \mathrm{mL} \) (b) What is the density of the block? \( \mathrm{g} / \mathrm{mL} \) Show work